Public support for Arizona's controversial new immigration law has increased slightly, a new CBS News poll shows, with 57 percent of Americans characterizing the law as "about right" in the way it addresses the issue of illegal immigration.

Support for the measure increased five points since May. Since then, the Justice Department has filed suit against the law, claiming that it usurps federal authority to enforce immigration laws.

The measure in question, signed into law in April and slated to go into effect later this month, makes it a state crime for a person to be in the country illegally. It also requires local law enforcement to question a person about his or her immigration status during all "lawful stops" if there is "reasonable suspicion" that person may be in the country illegally.

Twenty-three percent of Americans think the law goes too far, according to the poll, conducted July 9 - 12. That's down five points from the 28 percent who said in May that the measure goes too far. Another 17 percent said it doesn't go far enough...